!!!!!!!!!PLEASE NO DON'T SOLVE BY HAND , DON'T IGNORE (C) , SHOW THE LINGO (LINDO) SOFTWARE CODE AND RESULT.!!!!!!!!!!!

Consider the following mathematical model:

Max z = 3X1 + X2 + 3X3 S.T 2X1 + X2 + X3 <= 2 X1 + 2X2 + 3X3 <= 5 2X1 + 2X2 + X3 <=6

X1, X2, X3 >= 0

a) Solve the above mathematical model using Simplex Algorithm. Note that you need to show all the steps and calculations.

b) Solve the above mathematical model using LINDO software and print out the first page (mathematical) and the second page of the solutions.

c) Compare the solutions from part (a) with part (b). What is your conclusion?

!!!!!!!!!PLEASE NO DON'T SOLVE BY HAND , DON'T IGNORE (C) , SHOW THE LINGO (LINDO) SOFTWARE CODE AND RESULT.!!!!!!!!!!!